Question

find the measure of angles A B C D in the following figure ​

Answer 1

★ Solution :

We know that, sum of all angles of a quadrilateral = 360°.

so,

100 + 40 + 120 + c = 360°

260 + c = 360

c = 360 - 260

→ c = 100°

40° and a are linear pairs

40 + a = 180

a = 180-40

→ a = 140°

c and d are linear pairs

c+d = 180

100 + d = 180

d = 180 - 100

→ d = 80°

100° and b are linear pairs

100 + b = 180

b = 180 - 100

→ b = 80°

Answer 2

Answer:

angle A=140°

angle B=80°

angle C=100°

angle D=80°

Step-by-step explanation:

PQRS= 360°

40+100+120+c = 360

260+c=360

c=360-260

c=100°

angle p+a=180(stright angle)

40+a=180

a=180-40

a=140°

angle s+b=180(stright angle)

100+b=180

b=180-100

b=80°

angle c+d=180(stright angle)

100+d=180

d=180-100

d=80°

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